M. Mirsaburov, S. T. Chorieva, “On a problem with shift for degenerate equation of mixed type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 4,Pages <nobr>46

This article is cited in 4 papers

On a problem with shift for degenerate equation of mixed type

M. Mirsaburov, S. T. Chorieva

Chair of Differential Equations and Geometry, Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan

Abstract: In this paper, for a class of equations of mixed type, we consider a problem with shift on a boundary characteristic. We prove theorems of uniqueness and existence of a solution to formulated problem.

Keywords: shift condition on a bounded characteristic, uniqueness of solution, singular integral equation, isolated singularity of the first order, Wiener–Hopf equation, index of equation.

UDC: 517.956

Received: 16.10.2013